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Finding the Fourth Proportional to 261,753.66, 392,747.13 and 137,065.50

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Solution

The fourth proportional to 261,753.66, 392,747.13 and 137,065.50 is: 205,659.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,753.66 : 392,747.13 = 137,065.50 : x
  2. Step 2: Convert to fraction form
    261,753.66/392,747.13 = 137,065.50/x
  3. Step 3: Cross multiply
    261,753.66x = 392,747.13 × 137,065.50
  4. Step 4: Simplify right side
    261,753.66x = 53,832,081,747.02
  5. Step 5: Solve for x
    x = 53,832,081,747.02/261,753.66
  6. Step 6: Final answer
    x = 205,659.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.